Group table for the character group for $\textrm{Gal}(K/\mathbb{Q})$

$K$ is the global number field defined by \( x^{3} - x^{2} - 6 x + 7 \)

$\times$ \(\chi_{ 19 } ( 1, ·)\) \(\chi_{ 19 } ( 11, ·)\) \(\chi_{ 19 } ( 7, ·)\)
\(\chi_{ 19 }(1, ·)\) \(\chi_{ 19 } ( 1, ·)\) \(\chi_{ 19 } ( 11, ·)\) \(\chi_{ 19 } ( 7, ·)\)
\(\chi_{ 19 }(11, ·)\) \(\chi_{ 19 } ( 11, ·)\) \(\chi_{ 19 } ( 7, ·)\) \(\chi_{ 19 } ( 1, ·)\)
\(\chi_{ 19 }(7, ·)\) \(\chi_{ 19 } ( 7, ·)\) \(\chi_{ 19 } ( 1, ·)\) \(\chi_{ 19 } ( 11, ·)\)